TY - BOOK AU - Ulam, S. M. PY - 1960 DA - 1960// TI - A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics, no. 8 PB - Interscience CY - New York, NY, USA ID - Ulam1960 ER - TY - JOUR AU - Hyers, D. H. PY - 1941 DA - 1941// TI - On the stability of the linear functional equation JO - Proceedings of the National Academy of Sciences of the United States of America VL - 27 UR - https://doi.org/10.1073/pnas.27.4.222 DO - 10.1073/pnas.27.4.222 ID - Hyers1941 ER - TY - JOUR AU - Aoki, T. PY - 1950 DA - 1950// TI - On the stability of the linear transformation in Banach spaces JO - Journal of the Mathematical Society of Japan VL - 2 UR - https://doi.org/10.2969/jmsj/00210064 DO - 10.2969/jmsj/00210064 ID - Aoki1950 ER - TY - JOUR AU - Rassias, T. h. M. PY - 1978 DA - 1978// TI - On the stability of the linear mapping in Banach spaces JO - Proceedings of the American Mathematical Society VL - 72 UR - https://doi.org/10.1090/S0002-9939-1978-0507327-1 DO - 10.1090/S0002-9939-1978-0507327-1 ID - Rassias1978 ER - TY - JOUR AU - Rassias, J. M. PY - 1982 DA - 1982// TI - On approximation of approximately linear mappings by linear mappings JO - Journal of Functional Analysis VL - 46 UR - https://doi.org/10.1016/0022-1236(82)90048-9 DO - 10.1016/0022-1236(82)90048-9 ID - Rassias1982 ER - TY - JOUR AU - Rassias, J. M. PY - 1984 DA - 1984// TI - On approximation of approximately linear mappings by linear mappings JO - Bulletin des Sciences Mathématiques VL - 108 ID - Rassias1984 ER - TY - JOUR AU - Rassias, J. M. PY - 1989 DA - 1989// TI - Solution of a problem of Ulam JO - Journal of Approximation Theory VL - 57 UR - https://doi.org/10.1016/0021-9045(89)90041-5 DO - 10.1016/0021-9045(89)90041-5 ID - Rassias1989 ER - TY - CHAP AU - Găvruţa, P. PY - 1994 DA - 1994// TI - On the stability of some functional equations BT - Stability of Mappings of Hyers-Ulam Type, Hadronic Press Collection of Original Articles PB - Hadronic Press CY - Palm Harbor, Fla, USA ID - Găvruţa1994 ER - TY - BOOK AU - Aczél, J. AU - Dhombres, J. PY - 1989 DA - 1989// TI - Functional Equations in Several Variables with Applications to Mathematics, Information Theory and to the Natural and Social Sciences, Encyclopedia of Mathematics and Its Applications PB - Cambridge University Press CY - Cambridge, UK ID - Aczél1989 ER - TY - BOOK AU - Amir, D. PY - 1986 DA - 1986// TI - Characterizations of Inner Product Spaces, Operator Theory: Advances and Applications PB - Birkhäuser CY - Basel, Switzerland UR - https://doi.org/10.1007/978-3-0348-5487-0 DO - 10.1007/978-3-0348-5487-0 ID - Amir1986 ER - TY - JOUR AU - Jordan, P. AU - von Neumann, J. PY - 1935 DA - 1935// TI - On inner products in linear, metric spaces JO - Annals of Mathematics VL - 36 UR - https://doi.org/10.2307/1968653 DO - 10.2307/1968653 ID - Jordan1935 ER - TY - JOUR AU - Kannappan, P. PY - 1995 DA - 1995// TI - Quadratic functional equation and inner product spaces JO - Results in Mathematics VL - 27 UR - https://doi.org/10.1007/BF03322841 DO - 10.1007/BF03322841 ID - Kannappan1995 ER - TY - JOUR AU - Skof, F. PY - 1983 DA - 1983// TI - Local properties and approximation of operators JO - Rendiconti del Seminario Matematico e Fisico di Milano VL - 53 UR - https://doi.org/10.1007/BF02924890 DO - 10.1007/BF02924890 ID - Skof1983 ER - TY - JOUR AU - Cholewa, P. W. PY - 1984 DA - 1984// TI - Remarks on the stability of functional equations JO - Aequationes Mathematicae VL - 27 UR - https://doi.org/10.1007/BF02192660 DO - 10.1007/BF02192660 ID - Cholewa1984 ER - TY - JOUR AU - Rassias, J. M. PY - 1992 DA - 1992// TI - On the stability of the Euler-Lagrange functional equation JO - Chinese Journal of Mathematics VL - 20 ID - Rassias1992 ER - TY - JOUR AU - Czerwik, S. PY - 1992 DA - 1992// TI - On the stability of the quadratic mapping in normed spaces JO - Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg VL - 62 UR - https://doi.org/10.1007/BF02941618 DO - 10.1007/BF02941618 ID - Czerwik1992 ER - TY - JOUR AU - Grabiec, A. PY - 1996 DA - 1996// TI - The generalized Hyers-Ulam stability of a class of functional equations JO - Publicationes Mathematicae Debrecen VL - 48 ID - Grabiec1996 ER - TY - JOUR AU - Rassias, J. M. PY - 1994 DA - 1994// TI - On the stability of the non-linear Euler-Lagrange functional equation in real normed linear spaces JO - Journal of Mathematical and Physical Sciences VL - 28 ID - Rassias1994 ER - TY - JOUR AU - Rassias, J. M. PY - 1996 DA - 1996// TI - On the stability of the general Euler-Lagrange functional equation JO - Demonstratio Mathematica VL - 29 ID - Rassias1996 ER - TY - JOUR AU - Jun, K. -. W. AU - Lee, Y. -. H. PY - 2001 DA - 2001// TI - On the Hyers-Ulam-Rassias stability of a Pexiderized quadratic inequality JO - Mathematical Inequalities & Applications VL - 4 UR - https://doi.org/10.7153/mia-04-08 DO - 10.7153/mia-04-08 ID - Jun2001 ER - TY - JOUR AU - Bourgin, D. G. PY - 1951 DA - 1951// TI - Classes of transformations and bordering transformations JO - Bulletin of the American Mathematical Society VL - 57 UR - https://doi.org/10.1090/S0002-9904-1951-09511-7 DO - 10.1090/S0002-9904-1951-09511-7 ID - Bourgin1951 ER - TY - CHAP AU - Cădariu, L. AU - Radu, V. PY - 2008 DA - 2008// TI - Fixed point methods for the generalized stability of functional equations in a single variable BT - Fixed Point Theory and Applications ID - Cădariu2008 ER - TY - JOUR AU - Cădariu, L. AU - Radu, V. PY - 2007 DA - 2007// TI - Remarks on the stability of monomial functional equations JO - Fixed Point Theory VL - 8 ID - Cădariu2007 ER - TY - CHAP AU - Cădariu, L. AU - Radu, V. PY - 2004 DA - 2004// TI - On the stability of the Cauchy functional equation: a fixed point approach BT - Iteration Theory (ECIT '02), Grazer Mathematische Berichte PB - Karl-Franzens-Universität Graz CY - Graz, Austria ID - Cădariu2004 ER - TY - JOUR AU - Cădariu, L. AU - Radu, V. PY - 2003 DA - 2003// TI - Fixed points and the stability of Jensen's functional equation JO - Journal of Inequalities in Pure and Applied Mathematics VL - 4 ID - Cădariu2003 ER - TY - JOUR AU - Forti, G. L. PY - 1982 DA - 1982// TI - On an alternative functional equation related to the Cauchy equation JO - Aequationes Mathematicae VL - 24 UR - https://doi.org/10.1007/BF02193044 DO - 10.1007/BF02193044 ID - Forti1982 ER - TY - JOUR AU - Forti, G. L. PY - 1987 DA - 1987// TI - The stability of homomorphisms and amenability, with applications to functional equations JO - Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg VL - 57 UR - https://doi.org/10.1007/BF02941612 DO - 10.1007/BF02941612 ID - Forti1987 ER - TY - JOUR AU - Forti, G. L. PY - 1995 DA - 1995// TI - Hyers-Ulam stability of functional equations in several variables JO - Aequationes Mathematicae VL - 50 UR - https://doi.org/10.1007/BF01831117 DO - 10.1007/BF01831117 ID - Forti1995 ER - TY - JOUR AU - Găvruţa, P. PY - 1994 DA - 1994// TI - A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings JO - Journal of Mathematical Analysis and Applications VL - 184 UR - https://doi.org/10.1006/jmaa.1994.1211 DO - 10.1006/jmaa.1994.1211 ID - Găvruţa1994 ER - TY - JOUR AU - Găvruţa, P. PY - 2001 DA - 2001// TI - On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings JO - Journal of Mathematical Analysis and Applications VL - 261 UR - https://doi.org/10.1006/jmaa.2001.7539 DO - 10.1006/jmaa.2001.7539 ID - Găvruţa2001 ER - TY - JOUR AU - Găvruţa, P. PY - 2004 DA - 2004// TI - On the Hyers-Ulam-Rassias stability of the quadratic mappings JO - Nonlinear Functional Analysis and Applications VL - 9 ID - Găvruţa2004 ER - TY - JOUR AU - Jun, K. -. W. AU - Kim, H. -. M. PY - 2005 DA - 2005// TI - On the Hyers-Ulam stability of a difference equation JO - Journal of Computational Analysis and Applications VL - 7 ID - Jun2005 ER - TY - JOUR AU - Jun, K. -. W. AU - Kim, H. -. M. PY - 2005 DA - 2005// TI - Stability problem of Ulam for generalized forms of Cauchy functional equation JO - Journal of Mathematical Analysis and Applications VL - 312 UR - https://doi.org/10.1016/j.jmaa.2005.03.052 DO - 10.1016/j.jmaa.2005.03.052 ID - Jun2005 ER - TY - JOUR AU - Jun, K. -. W. AU - Kim, H. -. M. PY - 2006 DA - 2006// TI - Stability problem for Jensen-type functional equations of cubic mappings JO - Acta Mathematica Sinica VL - 22 UR - https://doi.org/10.1007/s10114-005-0736-9 DO - 10.1007/s10114-005-0736-9 ID - Jun2006 ER - TY - JOUR AU - Jun, K. -. W. AU - Kim, H. -. M. PY - 2006 DA - 2006// TI - Ulam stability problem for a mixed type of cubic and additive functional equation JO - Bulletin of the Belgian Mathematical Society. Simon Stevin VL - 13 ID - Jun2006 ER - TY - JOUR AU - Jun, K. -. W. AU - Kim, H. -. M. AU - Rassias, J. M. PY - 2007 DA - 2007// TI - Extended Hyers-Ulam stability for Cauchy-Jensen mappings JO - Journal of Difference Equations and Applications VL - 13 UR - https://doi.org/10.1080/10236190701464590 DO - 10.1080/10236190701464590 ID - Jun2007 ER - TY - JOUR AU - Jung, S. -. M. AU - Kim, T. -. S. PY - 2006 DA - 2006// TI - A fixed point approach to the stability of the cubic functional equation JO - Boletín de la Sociedad Matemática Mexicana VL - 12 ID - Jung2006 ER - TY - CHAP AU - Jung, S. -. M. AU - Rassias, J. M. PY - 2008 DA - 2008// TI - A fixed point approach to the stability of a functional equation of the spiral of Theodorus BT - Fixed Point Theory and Applications ID - Jung2008 ER - TY - JOUR AU - Mirzavaziri, M. AU - Moslehian, M. S. PY - 2006 DA - 2006// TI - A fixed point approach to stability of a quadratic equation JO - Bulletin of the Brazilian Mathematical Society VL - 37 UR - https://doi.org/10.1007/s00574-006-0016-z DO - 10.1007/s00574-006-0016-z ID - Mirzavaziri2006 ER - TY - JOUR AU - Moslehian, M. S. AU - Rassias, T. h. M. PY - 2007 DA - 2007// TI - Stability of functional equations in non-Archimedean spaces JO - Applicable Analysis and Discrete Mathematics VL - 1 UR - https://doi.org/10.2298/AADM0702325M DO - 10.2298/AADM0702325M ID - Moslehian2007 ER - TY - JOUR AU - Najati, A. PY - 2007 DA - 2007// TI - Hyers-Ulam stability of an -Apollonius type quadratic mapping JO - Bulletin of the Belgian Mathematical Society. Simon Stevin VL - 14 ID - Najati2007 ER - TY - JOUR AU - Najati, A. PY - 2008 DA - 2008// TI - On the stability of a quartic functional equation JO - Journal of Mathematical Analysis and Applications VL - 340 UR - https://doi.org/10.1016/j.jmaa.2007.08.048 DO - 10.1016/j.jmaa.2007.08.048 ID - Najati2008 ER - TY - JOUR AU - Najati, A. AU - Moghimi, M. B. PY - 2008 DA - 2008// TI - Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces JO - Journal of Mathematical Analysis and Applications VL - 337 UR - https://doi.org/10.1016/j.jmaa.2007.03.104 DO - 10.1016/j.jmaa.2007.03.104 ID - Najati2008 ER - TY - JOUR AU - Najati, A. AU - Park, C. PY - 2007 DA - 2007// TI - Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation JO - Journal of Mathematical Analysis and Applications VL - 335 UR - https://doi.org/10.1016/j.jmaa.2007.02.009 DO - 10.1016/j.jmaa.2007.02.009 ID - Najati2007 ER - TY - JOUR AU - Najati, A. AU - Park, C. PY - 2008 DA - 2008// TI - The Pexiderized Apollonius-Jensen type additive mapping and isomorphisms between -algebras JO - Journal of Difference Equations and Applications VL - 14 UR - https://doi.org/10.1080/10236190701466546 DO - 10.1080/10236190701466546 ID - Najati2008 ER - TY - JOUR AU - Park, C. PY - 2002 DA - 2002// TI - On the stability of the linear mapping in Banach modules JO - Journal of Mathematical Analysis and Applications VL - 275 UR - https://doi.org/10.1016/S0022-247X(02)00386-4 DO - 10.1016/S0022-247X(02)00386-4 ID - Park2002 ER - TY - JOUR AU - Ravi, K. AU - Arunkumar, M. AU - Rassias, J. M. PY - 2008 DA - 2008// TI - Ulam stability for the orthogonally general Euler-Lagrange type functional equation JO - International Journal of Mathematics and Statistics VL - 3 ID - Ravi2008 ER - TY - BOOK AU - Czerwik, S. PY - 2002 DA - 2002// TI - Functional Equations and Inequalities in Several Variables PB - World Scientific CY - River Edge, NJ, USA UR - https://doi.org/10.1142/4875 DO - 10.1142/4875 ID - Czerwik2002 ER - TY - BOOK AU - Hyers, D. H. AU - Isac, G. AU - Rassias, T. h. M. PY - 1998 DA - 1998// TI - Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and Their Applications PB - Birkhäuser CY - Boston, Mass, USA ID - Hyers1998 ER - TY - BOOK AU - Jung, S. -. M. PY - 2001 DA - 2001// TI - Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis PB - Hadronic Press CY - Palm Harbor, Fla, USA ID - Jung2001 ER - TY - BOOK PY - 2003 DA - 2003// TI - Functional Equations, Inequalities and Applications PB - Kluwer Academic Publishers CY - Dordrecht, The Netherlands ID - ref51 ER - TY - JOUR AU - Diaz, J. B. AU - Margolis, B. PY - 1968 DA - 1968// TI - A fixed point theorem of the alternative, for contractions on a generalized complete metric space JO - Bulletin of the American Mathematical Society VL - 74 UR - https://doi.org/10.1090/S0002-9904-1968-11933-0 DO - 10.1090/S0002-9904-1968-11933-0 ID - Diaz1968 ER - TY - JOUR AU - Radu, V. PY - 2003 DA - 2003// TI - The fixed point alternative and the stability of functional equations JO - Fixed Point Theory VL - 4 ID - Radu2003 ER - TY - JOUR AU - Rassias, J. M. PY - 2005 DA - 2005// TI - Alternative contraction principle and Ulam stability problem JO - Mathematical Sciences Research Journal VL - 9 ID - Rassias2005 ER - TY - JOUR AU - Rassias, J. M. PY - 2006 DA - 2006// TI - Alternative contraction principle and alternative Jensen and Jensen type mappings JO - International Journal of Applied Mathematics & Statistics VL - 4 ID - Rassias2006 ER - TY - JOUR AU - Isac, G. AU - Rassias, T. h. M. PY - 1996 DA - 1996// TI - Stability of -additive mappings: applications to nonlinear analysis JO - International Journal of Mathematics and Mathematical Sciences VL - 19 UR - https://doi.org/10.1155/S0161171296000324 DO - 10.1155/S0161171296000324 ID - Isac1996 ER - TY - JOUR AU - Kurepa, S. PY - 1961 DA - 1961// TI - On the quadratic functional JO - Publications de l'Institut Mathématique de l'Académie Serbe des Sciences VL - 13 ID - Kurepa1961 ER -